Question Details

The motion of a satellite orbiting the Earth in a circular path at constant speed is a classic example of uniform circular motion. What property of this motion prevents its acceleration from being zero?

Options

A

The total mechanical energy is conserved, necessitating acceleration.

B

The direction of motion changes continuously at every point, meaning the velocity is changing.

C

The object's mass continually changes due to orbital dynamics.

D

The speed is too high for the gravitational force to sustain a constant velocity.

Show Answer

Correct Answer :

Option B

The direction of motion changes continuously at every point, meaning the velocity is changing.

Solution :

Correct Option: The direction of motion changes continuously at every point, meaning the velocity is changing.


Step-by-step Explanation:


1. Understanding Velocity vs. Speed:
Velocity is a vector quantity, which means it has both a magnitude (speed) and a direction. Speed is a scalar quantity, representing only the magnitude of velocity. In uniform circular motion, a satellite moves around the Earth at a constant speed, meaning the magnitude of its velocity vector remains constant.


2. Acceleration and Changing Velocity:
Acceleration is defined as the rate of change of velocity with respect to time:

a=dvdt

Since velocity is a vector, a change in either its magnitude OR its direction (or both) results in acceleration.


3. Application to Circular Motion:
As the satellite orbits in a circular path, its direction of motion at any instant is tangent to the circle. Because the satellite is constantly turning to follow the curved path, its direction of velocity changes continuously at every point along the trajectory.


4. Conclusion:
Because the velocity vector is constantly changing direction, the rate of change of velocity is non-zero. This continuously changing direction produces a centripetal acceleration directed toward the center of the Earth. Therefore, the continuous change in the direction of motion prevents the acceleration from being zero.

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